78 citations · 236 across the 18 of their papers we have counts for
12 papers · 1 filter
The tube method for the moment index in projection pursuit
Satoshi Kuriki, Akimichi Takemura
The projection pursuit index defined by a sum of squares of the third and the fourth sample cumulants is known as the moment index proposed by Jones and Sibson. Limiting distributi…
Asymptotic Distribution of Wishart Matrix for Block-wise Dispersion of Population Eigenvalues
Yo Sheena, Akimichi Takemura
This paper deals with the asymptotic distribution of Wishart matrix and its application to the estimation of the population matrix parameter when the population eigenvalues are blo…
Integral representations of one dimensional projections for multivariate stable densities
Muneya Matsui, Akimichi Takemura
We consider the numerical evaluation of one dimensional projections of general multivariate stable densities introduced by Abdul-Hamid and Nolan (1998). In their approach higher or…
Star-shaped distributions and their generalizations
Hidehiko Kamiya, Akimichi Takemura, Satoshi Kuriki
Elliptically contoured distributions can be considered to be the distributions for which the contours of the density functions are proportional ellipsoids. We generalize elliptical…
Admissibility and minimaxity of generalized Bayes estimators for spherically symmetric family
Yuzo Maruyama, Akimichi Takemura
We give a sufficient condition for admissibility of generalized Bayes estimators of the location vector of spherically symmetric distribution under squared error loss. Compared to…
Evaluation of per-record identification risk and swappability of records in a microdata set via decomposable models
Akimichi Takemura, Yushi Endo
We propose a strategy for disclosure risk evaluation and disclosure control of a microdata set based on fitting decomposable models of a multiway contingency table corresponding to…